NON - SPHERICAL SURFACES, FOR WHICH TWO SYSTEMS OF LINES ARE CIRCLES

Abstract

The surfaces, for which two systems of lines are circles, are presented in this paper despite the fact that they are not a spherical surface or torus. The presented surfaces are views of linear surfaces in a spherical inversion, specifically the linear surfaces of rotation and the hyperbolic paraboloid. The first section of this paper deals with a circular inversion and its properties. The second one with a spherical inversion and in the third section of this paper, we devote to the visualization of before mentioned linear surfaces in a spherical inversion.